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The connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.

Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.

"Mateko," by Dan KuzmenkaDan Kuzmenka is a North American researcher in the field of chemistry. Like many other scientists, Dan discovered fractal geometry in 1985 reading an article in the magazine Scientific American, although it wasn’t until 1999 that he began to create his first fractal images. Mateko is a word invented by its author, who maintains a personal challenge to find new ways of expressing spirals—the most important fractal icon—without showing the same shape time and time again. For this image he experimented with different color palettes and ways to combine them before the colors we now see appeared; these colors are unusual for Dan Kuzmenka, who usually uses warmer colors and earth tones.